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Popular >

simplify ln(2/(2/3))

Solution

simplify

ln (\frac{2}{\frac{2}{3}})

Solution

ln (3)

+1

Decimal Notation

1.09861 \dots

Solution steps

ln (\frac{2}{\frac{2}{3}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{2}{\frac{2}{3}}) = ln (2) - ln (\frac{2}{3})

= ln (2) - ln (\frac{2}{3})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{2}{3}) = ln (2) - ln (3)

= ln (2) - (ln (2) - ln (3))

- (ln (2) - ln (3)) : - ln (2) + ln (3)

= ln (2) - ln (2) + ln (3)

Add similar elements:

ln (2) - ln (2) = 0

= ln (3)

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Frequently Asked Questions (FAQ)

What is ln(2/(2/3)) ?
The solution to ln(2/(2/3)) is ln(3)